Correcting Quantum Errors In Higher Spin Systems

Details Correcting Quantum Errors In Higher Spin Systems Correcting Quantum Errors In Higher Spin Systems

1996-10-16

arxiv.org/abs/quant-ph/9610023v2

Physics

Quantum Physics

In REVTEX 3.0, requires AMS fonts. Typos corrected. To appear in PRA (Rapid Comm.)

Scientific paper

10.1103/PhysRevA.55.R839

I consider the theory of quantum error correcting code (QECC) where each quantum particle has more than two possible eigenstates. In this higher spin system, I report an explicit QECC that is related to the symmetry group ${\Bbb Z}_2^{\otimes (N-1)} \otimes S_N$. This QECC, which generalizes Shor's simple majority vote code, is able to correct errors arising from exactly one quantum particle. I also provide a simple encoding algorithm.

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